- #1

clarineterr

- 14

- 0

## Homework Statement

[tex]\frac{d^{2}y}{dt}[/tex] +4[tex]\frac{dy}{dt}[/tex]+20y=e[tex]^{-2t}[/tex](sin4t+cos4t)

## Homework Equations

## The Attempt at a Solution

The solution to the homogeneous equation: [tex]\frac{d^{2}y}{dt}[/tex] +4[tex]\frac{dy}{dt}[/tex]+20y=0 is

y= k

_{1}e[tex]^{-2t}[/tex]cos4t +k

_{2}e[tex]^{-2t}[/tex]sin4t

Then I guessed ae[tex]^{-2+4i}[/tex] as a possible solution and it didn't work, and that's where I'm stuck.